LCOV - code coverage report
Current view: top level - src/dbm - dbm_multiply_comm.c (source / functions) Coverage Total Hit
Test: CP2K Regtests (git:85b8a9b) Lines: 100.0 % 188 188
Test Date: 2026-06-14 06:48:14 Functions: 100.0 % 14 14

            Line data    Source code
       1              : /*----------------------------------------------------------------------------*/
       2              : /*  CP2K: A general program to perform molecular dynamics simulations         */
       3              : /*  Copyright 2000-2026 CP2K developers group <https://cp2k.org>              */
       4              : /*                                                                            */
       5              : /*  SPDX-License-Identifier: BSD-3-Clause                                     */
       6              : /*----------------------------------------------------------------------------*/
       7              : #include "dbm_multiply_comm.h"
       8              : #include "../mpiwrap/cp_mpi.h"
       9              : #include "../offload/offload_mempool.h"
      10              : 
      11              : #include <assert.h>
      12              : #include <limits.h>
      13              : #include <stdlib.h>
      14              : #include <string.h>
      15              : 
      16              : #if 1
      17              : #define DBM_MULTIPLY_COMM_MEMPOOL
      18              : #endif
      19              : 
      20              : /*******************************************************************************
      21              :  * \brief Private routine for computing greatest common divisor of two numbers.
      22              :  * \author Ole Schuett
      23              :  ******************************************************************************/
      24       505454 : static int gcd(const int a, const int b) {
      25       505454 :   if (a == 0) {
      26              :     return b;
      27              :   }
      28       263396 :   return gcd(b % a, a); // Euclid's algorithm.
      29              : }
      30              : 
      31              : /*******************************************************************************
      32              :  * \brief Private routine for computing least common multiple of two numbers.
      33              :  * \author Ole Schuett
      34              :  ******************************************************************************/
      35       242058 : static int lcm(const int a, const int b) { return (a * b) / gcd(a, b); }
      36              : 
      37              : /*******************************************************************************
      38              :  * \brief Private routine for converting element counts to byte counts.
      39              :  * \author Hans Pabst
      40              :  ******************************************************************************/
      41      2321772 : static int checked_byte_count(const int nelements, const size_t element_size) {
      42      2321772 :   assert(0 <= nelements);
      43      2321772 :   assert(element_size <= INT_MAX);
      44      2321772 :   assert(nelements <= INT_MAX / (int)element_size);
      45      2321772 :   return nelements * (int)element_size;
      46              : }
      47              : 
      48              : /*******************************************************************************
      49              :  * \brief Private routine for computing the sum of the given integers.
      50              :  * \author Ole Schuett
      51              :  ******************************************************************************/
      52              : static inline int isum(const int n, const int input[n]) {
      53              :   int output = 0;
      54      3290004 :   for (int i = 0; i < n; i++) {
      55      1139480 :     output += input[i];
      56              :   }
      57      1011044 :   return output;
      58              : }
      59              : 
      60              : /*******************************************************************************
      61              :  * \brief Private routine for computing the cumulative sums of given numbers.
      62              :  * \author Ole Schuett and Hans Pabst
      63              :  ******************************************************************************/
      64      1011044 : static inline void icumsum(const int n, const int input[n], int output[n]) {
      65      1011044 :   int oval = output[0] = 0, ival = input[0];
      66      1139480 :   for (int i = 1; i < n; i++) {
      67       128436 :     output[i] = (oval += ival);
      68       128436 :     ival = input[i];
      69              :   }
      70              : }
      71              : 
      72              : /*******************************************************************************
      73              :  * \brief Private routine computing received data counts from block metadata.
      74              :  * \author Hans Pabst
      75              :  ******************************************************************************/
      76       505522 : static void compute_data_recv_count(const int nranks,
      77              :                                     const int blks_recv_count[nranks],
      78              :                                     const int blks_recv_displ[nranks],
      79              :                                     const int free_index_sizes[],
      80              :                                     const int sum_index_sizes[],
      81              :                                     const dbm_pack_block_t blks_recv[],
      82              :                                     int data_recv_count[nranks]) {
      83       505522 :   memset(data_recv_count, 0, nranks * sizeof(int));
      84      1075262 :   for (int irank = 0; irank < nranks; irank++) {
      85     14386998 :     for (int i = 0; i < blks_recv_count[irank]; i++) {
      86     13817258 :       const dbm_pack_block_t *const blk =
      87     13817258 :           &blks_recv[blks_recv_displ[irank] + i];
      88     13817258 :       const int block_size =
      89     13817258 :           free_index_sizes[blk->free_index] * sum_index_sizes[blk->sum_index];
      90     13817258 :       assert(block_size >= 0);
      91     13817258 :       assert(data_recv_count[irank] <= INT_MAX - block_size);
      92     13817258 :       data_recv_count[irank] += block_size;
      93              :     }
      94              :   }
      95       505522 : }
      96              : 
      97              : /*******************************************************************************
      98              :  * \brief Private struct used for planing during pack_matrix.
      99              :  * \author Ole Schuett
     100              :  ******************************************************************************/
     101              : typedef struct {
     102              :   const dbm_block_t *blk; // source block
     103              :   int rank;               // target mpi rank
     104              :   int row_size;
     105              :   int col_size;
     106              : } plan_t;
     107              : 
     108              : /*******************************************************************************
     109              :  * \brief Private routine for calculating tick indices in pack plans.
     110              :  * \author Maximilian Graml
     111              :  ******************************************************************************/
     112              : static inline unsigned long long calculate_tick_index(int sum_index,
     113              :                                                       int nticks) {
     114              :   // 1021 is used as a random prime to scramble the index
     115              :   return ((unsigned long long)sum_index * 1021ULL) % (unsigned long long)nticks;
     116              : }
     117              : 
     118              : /*******************************************************************************
     119              :  * \brief Private routine for planing packs.
     120              :  * \author Ole Schuett
     121              :  ******************************************************************************/
     122       484116 : static void create_pack_plans(const bool trans_matrix, const bool trans_dist,
     123              :                               const dbm_matrix_t *matrix,
     124              :                               const cp_mpi_comm_t comm,
     125              :                               const dbm_dist_1d_t *dist_indices,
     126              :                               const dbm_dist_1d_t *dist_ticks, const int nticks,
     127              :                               const int npacks, plan_t *plans_per_pack[npacks],
     128              :                               int nblks_per_pack[npacks],
     129              :                               int ndata_per_pack[npacks]) {
     130       484116 :   memset(nblks_per_pack, 0, npacks * sizeof(int));
     131       484116 :   memset(ndata_per_pack, 0, npacks * sizeof(int));
     132              : 
     133       484116 : #pragma omp parallel
     134              :   {
     135              :     // 1st pass: Compute number of blocks that will be send in each pack.
     136              :     int nblks_mythread[npacks];
     137              :     memset(nblks_mythread, 0, npacks * sizeof(int));
     138              : #pragma omp for schedule(static)
     139              :     for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     140              :       dbm_shard_t *shard = &matrix->shards[ishard];
     141              :       for (int iblock = 0; iblock < shard->nblocks; iblock++) {
     142              :         const dbm_block_t *blk = &shard->blocks[iblock];
     143              :         const int sum_index = (trans_matrix) ? blk->row : blk->col;
     144              :         unsigned long long itick64 = calculate_tick_index(sum_index, nticks);
     145              :         const int ipack = itick64 / dist_ticks->nranks;
     146              :         nblks_mythread[ipack]++;
     147              :       }
     148              :     }
     149              : 
     150              :     // Sum nblocks across threads and allocate arrays for plans.
     151              : #pragma omp critical
     152              :     for (int ipack = 0; ipack < npacks; ipack++) {
     153              :       nblks_per_pack[ipack] += nblks_mythread[ipack];
     154              :       nblks_mythread[ipack] = nblks_per_pack[ipack];
     155              :     }
     156              : #pragma omp barrier
     157              : #pragma omp for
     158              :     for (int ipack = 0; ipack < npacks; ipack++) {
     159              :       const int nblks = nblks_per_pack[ipack];
     160              :       plans_per_pack[ipack] = malloc(nblks * sizeof(plan_t));
     161              :       assert(plans_per_pack[ipack] != NULL || nblks == 0);
     162              :     }
     163              : 
     164              :     // 2nd pass: Plan where to send each block.
     165              :     int ndata_mythread[npacks];
     166              :     memset(ndata_mythread, 0, npacks * sizeof(int));
     167              : #pragma omp for schedule(static) // Need static to match previous loop.
     168              :     for (int ishard = 0; ishard < dbm_get_num_shards(matrix); ishard++) {
     169              :       dbm_shard_t *shard = &matrix->shards[ishard];
     170              :       for (int iblock = 0; iblock < shard->nblocks; iblock++) {
     171              :         const dbm_block_t *blk = &shard->blocks[iblock];
     172              :         const int free_index = (trans_matrix) ? blk->col : blk->row;
     173              :         const int sum_index = (trans_matrix) ? blk->row : blk->col;
     174              :         unsigned long long itick64 = calculate_tick_index(sum_index, nticks);
     175              :         const int ipack = itick64 / dist_ticks->nranks;
     176              :         // Compute rank to which this block should be sent.
     177              :         const int coord_free_idx = dist_indices->index2coord[free_index];
     178              :         const int coord_sum_idx = itick64 % dist_ticks->nranks;
     179              :         const int coords[2] = {(trans_dist) ? coord_sum_idx : coord_free_idx,
     180              :                                (trans_dist) ? coord_free_idx : coord_sum_idx};
     181              :         const int rank = cp_mpi_cart_rank(comm, coords);
     182              :         const int row_size = matrix->row_sizes[blk->row];
     183              :         const int col_size = matrix->col_sizes[blk->col];
     184              :         ndata_mythread[ipack] += row_size * col_size;
     185              :         // Create plan.
     186              :         const int iplan = --nblks_mythread[ipack];
     187              :         plans_per_pack[ipack][iplan].blk = blk;
     188              :         plans_per_pack[ipack][iplan].rank = rank;
     189              :         plans_per_pack[ipack][iplan].row_size = row_size;
     190              :         plans_per_pack[ipack][iplan].col_size = col_size;
     191              :       }
     192              :     }
     193              : #pragma omp critical
     194              :     for (int ipack = 0; ipack < npacks; ipack++) {
     195              :       ndata_per_pack[ipack] += ndata_mythread[ipack];
     196              :     }
     197              :   } // end of omp parallel region
     198       484116 : }
     199              : 
     200              : /*******************************************************************************
     201              :  * \brief Private routine for filling send buffers.
     202              :  * \author Ole Schuett
     203              :  ******************************************************************************/
     204       505522 : static void fill_send_buffers(
     205              :     const dbm_matrix_t *matrix, const bool trans_matrix, const int nblks_send,
     206              :     const int ndata_send, plan_t plans[nblks_send], const int nranks,
     207              :     int blks_send_count[nranks], int data_send_count[nranks],
     208              :     int blks_send_displ[nranks], int data_send_displ[nranks],
     209              :     dbm_pack_block_t blks_send[nblks_send], double data_send[ndata_send]) {
     210       505522 :   memset(blks_send_count, 0, nranks * sizeof(int));
     211       505522 :   memset(data_send_count, 0, nranks * sizeof(int));
     212              : 
     213       505522 : #pragma omp parallel
     214              :   {
     215              :     // 3th pass: Compute per rank nblks and ndata.
     216              :     int nblks_mythread[nranks], ndata_mythread[nranks];
     217              :     memset(nblks_mythread, 0, nranks * sizeof(int));
     218              :     memset(ndata_mythread, 0, nranks * sizeof(int));
     219              : #pragma omp for schedule(static)
     220              :     for (int iblock = 0; iblock < nblks_send; iblock++) {
     221              :       const plan_t *plan = &plans[iblock];
     222              :       nblks_mythread[plan->rank] += 1;
     223              :       ndata_mythread[plan->rank] += plan->row_size * plan->col_size;
     224              :     }
     225              : 
     226              :     // Sum nblks and ndata across threads.
     227              : #pragma omp critical
     228              :     for (int irank = 0; irank < nranks; irank++) {
     229              :       blks_send_count[irank] += nblks_mythread[irank];
     230              :       data_send_count[irank] += ndata_mythread[irank];
     231              :       nblks_mythread[irank] = blks_send_count[irank];
     232              :       ndata_mythread[irank] = data_send_count[irank];
     233              :     }
     234              : #pragma omp barrier
     235              : 
     236              :     // Compute send displacements.
     237              : #pragma omp single
     238              :     {
     239              :       icumsum(nranks, blks_send_count, blks_send_displ);
     240              :       icumsum(nranks, data_send_count, data_send_displ);
     241              :       const int m = nranks - 1;
     242              :       assert(nblks_send == blks_send_displ[m] + blks_send_count[m]);
     243              :       assert(ndata_send == data_send_displ[m] + data_send_count[m]);
     244              :     }
     245              : #pragma omp barrier
     246              : 
     247              :     // 4th pass: Fill blks_send and data_send arrays.
     248              : #pragma omp for schedule(static) // Need static to match previous loop.
     249              :     for (int iblock = 0; iblock < nblks_send; iblock++) {
     250              :       const plan_t *const plan = &plans[iblock];
     251              :       const dbm_block_t *const blk = plan->blk;
     252              :       const int ishard = dbm_get_shard_index(matrix, blk->row, blk->col);
     253              :       const dbm_shard_t *const shard = &matrix->shards[ishard];
     254              :       const double *blk_data = &shard->data[blk->offset];
     255              :       const int row_size = plan->row_size, col_size = plan->col_size;
     256              :       const int plan_size = row_size * col_size;
     257              :       const int irank = plan->rank;
     258              : 
     259              :       // The blk_send_data is ordered by rank, thread, and block.
     260              :       //   data_send_displ[irank]: Start of data for irank within blk_send_data.
     261              :       //   ndata_mythread[irank]: Current threads offset within data for irank.
     262              :       nblks_mythread[irank] -= 1;
     263              :       ndata_mythread[irank] -= plan_size;
     264              :       const int offset = data_send_displ[irank] + ndata_mythread[irank];
     265              :       const int jblock = blks_send_displ[irank] + nblks_mythread[irank];
     266              : 
     267              :       double norm = 0.0; // Compute norm as double...
     268              :       if (trans_matrix) {
     269              :         // Transpose block to allow for outer-product style multiplication.
     270              :         for (int i = 0; i < row_size; i++) {
     271              :           for (int j = 0; j < col_size; j++) {
     272              :             const double element = blk_data[j * row_size + i];
     273              :             data_send[offset + i * col_size + j] = element;
     274              :             norm += element * element;
     275              :           }
     276              :         }
     277              :         blks_send[jblock].free_index = plan->blk->col;
     278              :         blks_send[jblock].sum_index = plan->blk->row;
     279              :       } else {
     280              :         for (int i = 0; i < plan_size; i++) {
     281              :           const double element = blk_data[i];
     282              :           data_send[offset + i] = element;
     283              :           norm += element * element;
     284              :         }
     285              :         blks_send[jblock].free_index = plan->blk->row;
     286              :         blks_send[jblock].sum_index = plan->blk->col;
     287              :       }
     288              :       blks_send[jblock].norm = (float)norm; // ...store norm as float.
     289              : 
     290              :       // After the block exchange data_recv_displ will be added to the offsets.
     291              :       blks_send[jblock].offset = offset - data_send_displ[irank];
     292              :     }
     293              :   } // end of omp parallel region
     294       505522 : }
     295              : 
     296              : /*******************************************************************************
     297              :  * \brief Private comperator passed to qsort to compare two blocks by sum_index.
     298              :  * \author Ole Schuett
     299              :  ******************************************************************************/
     300     75113207 : static int compare_pack_blocks_by_sum_index(const void *a, const void *b) {
     301     75113207 :   const dbm_pack_block_t *blk_a = (const dbm_pack_block_t *)a;
     302     75113207 :   const dbm_pack_block_t *blk_b = (const dbm_pack_block_t *)b;
     303     75113207 :   return blk_a->sum_index - blk_b->sum_index;
     304              : }
     305              : 
     306              : /*******************************************************************************
     307              :  * \brief Private routine for post-processing received blocks.
     308              :  * \author Ole Schuett
     309              :  ******************************************************************************/
     310       505522 : static void postprocess_received_blocks(
     311              :     const int nranks, const int nshards, const int nblocks_recv,
     312              :     const int blks_recv_count[nranks], const int blks_recv_displ[nranks],
     313              :     const int data_recv_displ[nranks],
     314       505522 :     dbm_pack_block_t blks_recv[nblocks_recv]) {
     315       505522 :   int nblocks_per_shard[nshards], shard_start[nshards];
     316       505522 :   memset(nblocks_per_shard, 0, nshards * sizeof(int));
     317       505522 :   dbm_pack_block_t *blocks_tmp =
     318       505522 :       malloc(nblocks_recv * sizeof(dbm_pack_block_t));
     319       505522 :   assert(blocks_tmp != NULL || nblocks_recv == 0);
     320              : 
     321       505522 : #pragma omp parallel
     322              :   {
     323              :     // Add data_recv_displ to recveived block offsets.
     324              :     for (int irank = 0; irank < nranks; irank++) {
     325              : #pragma omp for
     326              :       for (int i = 0; i < blks_recv_count[irank]; i++) {
     327              :         blks_recv[blks_recv_displ[irank] + i].offset += data_recv_displ[irank];
     328              :       }
     329              :     }
     330              : 
     331              :     // First use counting sort to group blocks by their free_index shard.
     332              :     int nblocks_mythread[nshards];
     333              :     memset(nblocks_mythread, 0, nshards * sizeof(int));
     334              : #pragma omp for schedule(static)
     335              :     for (int iblock = 0; iblock < nblocks_recv; iblock++) {
     336              :       blocks_tmp[iblock] = blks_recv[iblock];
     337              :       const int ishard = blks_recv[iblock].free_index % nshards;
     338              :       nblocks_mythread[ishard]++;
     339              :     }
     340              : #pragma omp critical
     341              :     for (int ishard = 0; ishard < nshards; ishard++) {
     342              :       nblocks_per_shard[ishard] += nblocks_mythread[ishard];
     343              :       nblocks_mythread[ishard] = nblocks_per_shard[ishard];
     344              :     }
     345              : #pragma omp barrier
     346              : #pragma omp single
     347              :     icumsum(nshards, nblocks_per_shard, shard_start);
     348              : #pragma omp barrier
     349              : #pragma omp for schedule(static) // Need static to match previous loop.
     350              :     for (int iblock = 0; iblock < nblocks_recv; iblock++) {
     351              :       const int ishard = blocks_tmp[iblock].free_index % nshards;
     352              :       const int jblock = --nblocks_mythread[ishard] + shard_start[ishard];
     353              :       blks_recv[jblock] = blocks_tmp[iblock];
     354              :     }
     355              : 
     356              :     // Then sort blocks within each shard by their sum_index.
     357              : #pragma omp for
     358              :     for (int ishard = 0; ishard < nshards; ishard++) {
     359              :       if (nblocks_per_shard[ishard] > 1) {
     360              :         qsort(&blks_recv[shard_start[ishard]], nblocks_per_shard[ishard],
     361              :               sizeof(dbm_pack_block_t), &compare_pack_blocks_by_sum_index);
     362              :       }
     363              :     }
     364              :   } // end of omp parallel region
     365              : 
     366       505522 :   free(blocks_tmp);
     367       505522 : }
     368              : 
     369              : /*******************************************************************************
     370              :  * \brief Private routine for redistributing a matrix along selected dimensions.
     371              :  * \author Ole Schuett
     372              :  ******************************************************************************/
     373       484116 : static dbm_packed_matrix_t pack_matrix(const bool trans_matrix,
     374              :                                        const bool trans_dist,
     375              :                                        const dbm_matrix_t *restrict matrix,
     376              :                                        const dbm_distribution_t *restrict dist,
     377       484116 :                                        const int nticks) {
     378       484116 :   assert(cp_mpi_comms_are_similar(matrix->dist->comm, dist->comm));
     379              : 
     380              :   // The row/col indicies are distributed along one cart dimension and the
     381              :   // ticks are distributed along the other cart dimension.
     382       484116 :   const dbm_dist_1d_t *dist_indices = (trans_dist) ? &dist->cols : &dist->rows;
     383       484116 :   const dbm_dist_1d_t *dist_ticks = (trans_dist) ? &dist->rows : &dist->cols;
     384       484116 :   const int *free_index_sizes =
     385              :       (trans_matrix) ? matrix->col_sizes : matrix->row_sizes;
     386       484116 :   const int *sum_index_sizes =
     387              :       (trans_matrix) ? matrix->row_sizes : matrix->col_sizes;
     388              : 
     389              :   // Allocate packed matrix.
     390       484116 :   const int nsend_packs = nticks / dist_ticks->nranks;
     391       484116 :   assert(nsend_packs * dist_ticks->nranks == nticks);
     392       484116 :   dbm_packed_matrix_t packed;
     393       484116 :   packed.dist_indices = dist_indices;
     394       484116 :   packed.dist_ticks = dist_ticks;
     395       484116 :   packed.nsend_packs = nsend_packs;
     396       484116 :   packed.send_packs = malloc(nsend_packs * sizeof(dbm_pack_t));
     397       484116 :   assert(packed.send_packs != NULL || nsend_packs == 0);
     398              : 
     399              :   // Plan all packs.
     400       484116 :   plan_t *plans_per_pack[nsend_packs];
     401       484116 :   int nblks_send_per_pack[nsend_packs], ndata_send_per_pack[nsend_packs];
     402       484116 :   create_pack_plans(trans_matrix, trans_dist, matrix, dist->comm, dist_indices,
     403              :                     dist_ticks, nticks, nsend_packs, plans_per_pack,
     404              :                     nblks_send_per_pack, ndata_send_per_pack);
     405              : 
     406              :   // Allocate send buffers for maximum number of blocks/data over all packs.
     407       484116 :   int nblks_send_max = 0, ndata_send_max = 0;
     408       989638 :   for (int ipack = 0; ipack < nsend_packs; ++ipack) {
     409       505522 :     nblks_send_max = imax(nblks_send_max, nblks_send_per_pack[ipack]);
     410       505522 :     ndata_send_max = imax(ndata_send_max, ndata_send_per_pack[ipack]);
     411              :   }
     412       484116 :   dbm_pack_block_t *blks_send =
     413       484116 :       cp_mpi_alloc_mem(nblks_send_max * sizeof(dbm_pack_block_t));
     414       484116 :   double *data_send = cp_mpi_alloc_mem(ndata_send_max * sizeof(double));
     415              : 
     416              :   // Cannot parallelize over packs (there might be too few of them).
     417       989638 :   for (int ipack = 0; ipack < nsend_packs; ipack++) {
     418              :     // Fill send buffers according to plans.
     419       505522 :     const int nranks = dist->nranks;
     420       505522 :     int blks_send_count[nranks], data_send_count[nranks];
     421       505522 :     int blks_send_displ[nranks], data_send_displ[nranks];
     422       505522 :     fill_send_buffers(matrix, trans_matrix, nblks_send_per_pack[ipack],
     423       505522 :                       ndata_send_per_pack[ipack], plans_per_pack[ipack], nranks,
     424              :                       blks_send_count, data_send_count, blks_send_displ,
     425              :                       data_send_displ, blks_send, data_send);
     426       505522 :     free(plans_per_pack[ipack]);
     427              : 
     428              :     // 1st communication: Exchange block counts.
     429       505522 :     int blks_recv_count[nranks], blks_recv_displ[nranks];
     430       505522 :     cp_mpi_alltoall_int(blks_send_count, 1, blks_recv_count, 1, dist->comm);
     431      1580784 :     icumsum(nranks, blks_recv_count, blks_recv_displ);
     432       505522 :     const int nblocks_recv = isum(nranks, blks_recv_count);
     433              : 
     434              :     // 2nd communication: Exchange blocks.
     435       505522 :     dbm_pack_block_t *blks_recv =
     436       505522 :         cp_mpi_alloc_mem(nblocks_recv * sizeof(dbm_pack_block_t));
     437       505522 :     int blks_send_count_byte[nranks], blks_send_displ_byte[nranks];
     438       505522 :     int blks_recv_count_byte[nranks], blks_recv_displ_byte[nranks];
     439      1075262 :     for (int i = 0; i < nranks; i++) { // TODO: this is ugly!
     440      1139480 :       blks_send_count_byte[i] =
     441       569740 :           checked_byte_count(blks_send_count[i], sizeof(dbm_pack_block_t));
     442      1139480 :       blks_send_displ_byte[i] =
     443       569740 :           checked_byte_count(blks_send_displ[i], sizeof(dbm_pack_block_t));
     444      1139480 :       blks_recv_count_byte[i] =
     445       569740 :           checked_byte_count(blks_recv_count[i], sizeof(dbm_pack_block_t));
     446       569740 :       blks_recv_displ_byte[i] =
     447       569740 :           checked_byte_count(blks_recv_displ[i], sizeof(dbm_pack_block_t));
     448              :     }
     449       505522 :     cp_mpi_alltoallv_byte(blks_send, blks_send_count_byte, blks_send_displ_byte,
     450              :                           blks_recv, blks_recv_count_byte, blks_recv_displ_byte,
     451              :                           dist->comm);
     452              : 
     453              :     // Compute data counts from the received block metadata.
     454       505522 :     int data_recv_count[nranks], data_recv_displ[nranks];
     455       505522 :     compute_data_recv_count(nranks, blks_recv_count, blks_recv_displ,
     456              :                             free_index_sizes, sum_index_sizes, blks_recv,
     457              :                             data_recv_count);
     458      1580784 :     icumsum(nranks, data_recv_count, data_recv_displ);
     459       505522 :     const int ndata_recv = isum(nranks, data_recv_count);
     460              : 
     461              :     // 4th communication: Exchange data.
     462              : #if defined(DBM_MULTIPLY_COMM_MEMPOOL)
     463       505522 :     double *data_recv =
     464       505522 :         offload_mempool_host_malloc(ndata_recv * sizeof(double));
     465              : #else
     466              :     double *data_recv = cp_mpi_alloc_mem(ndata_recv * sizeof(double));
     467              : #endif
     468       505522 :     cp_mpi_alltoallv_double(data_send, data_send_count, data_send_displ,
     469              :                             data_recv, data_recv_count, data_recv_displ,
     470              :                             dist->comm);
     471              : 
     472              :     // Post-process received blocks and assemble them into a pack.
     473       505522 :     postprocess_received_blocks(nranks, dist_indices->nshards, nblocks_recv,
     474              :                                 blks_recv_count, blks_recv_displ,
     475              :                                 data_recv_displ, blks_recv);
     476       505522 :     packed.send_packs[ipack].nblocks = nblocks_recv;
     477       505522 :     packed.send_packs[ipack].data_size = ndata_recv;
     478       505522 :     packed.send_packs[ipack].blocks = blks_recv;
     479       505522 :     packed.send_packs[ipack].data = data_recv;
     480              :   }
     481              : 
     482              :   // Deallocate send buffers.
     483       484116 :   cp_mpi_free_mem(blks_send);
     484       484116 :   cp_mpi_free_mem(data_send);
     485              : 
     486              :   // Allocate pack_recv.
     487       484116 :   int max_nblocks = 0, max_data_size = 0;
     488       989638 :   for (int ipack = 0; ipack < packed.nsend_packs; ipack++) {
     489       505522 :     max_nblocks = imax(max_nblocks, packed.send_packs[ipack].nblocks);
     490       505522 :     max_data_size = imax(max_data_size, packed.send_packs[ipack].data_size);
     491              :   }
     492       484116 :   cp_mpi_max_int(&max_nblocks, 1, packed.dist_ticks->comm);
     493       484116 :   cp_mpi_max_int(&max_data_size, 1, packed.dist_ticks->comm);
     494       484116 :   packed.max_nblocks = max_nblocks;
     495       484116 :   packed.max_data_size = max_data_size;
     496       968232 :   packed.recv_pack.blocks =
     497       484116 :       cp_mpi_alloc_mem(packed.max_nblocks * sizeof(dbm_pack_block_t));
     498              : #if defined(DBM_MULTIPLY_COMM_MEMPOOL)
     499       968232 :   packed.recv_pack.data =
     500       484116 :       offload_mempool_host_malloc(packed.max_data_size * sizeof(double));
     501              : #else
     502              :   packed.recv_pack.data =
     503              :       cp_mpi_alloc_mem(packed.max_data_size * sizeof(double));
     504              : #endif
     505              : 
     506       484116 :   return packed; // Ownership of packed transfers to caller.
     507              : }
     508              : 
     509              : /*******************************************************************************
     510              :  * \brief Private routine for sending and receiving the pack for the given tick.
     511              :  * \author Ole Schuett
     512              :  ******************************************************************************/
     513       526928 : static dbm_pack_t *sendrecv_pack(const int itick, const int nticks,
     514              :                                  dbm_packed_matrix_t *packed) {
     515       526928 :   const int nranks = packed->dist_ticks->nranks;
     516       526928 :   const int my_rank = packed->dist_ticks->my_rank;
     517              : 
     518              :   // Compute send rank and pack.
     519       526928 :   const int itick_of_rank0 = (itick + nticks - my_rank) % nticks;
     520       526928 :   const int send_rank = (my_rank + nticks - itick_of_rank0) % nranks;
     521       526928 :   const int send_itick = (itick_of_rank0 + send_rank) % nticks;
     522       526928 :   const int send_ipack = send_itick / nranks;
     523       526928 :   assert(send_itick % nranks == my_rank);
     524              : 
     525              :   // Compute receive rank and pack.
     526       526928 :   const int recv_rank = itick % nranks;
     527       526928 :   const int recv_ipack = itick / nranks;
     528              : 
     529       526928 :   dbm_pack_t *send_pack = &packed->send_packs[send_ipack];
     530       526928 :   if (send_rank == my_rank) {
     531       505522 :     assert(send_rank == recv_rank && send_ipack == recv_ipack);
     532              :     return send_pack; // Local pack, no mpi needed.
     533              :   } else {
     534              :     // Exchange blocks.
     535        64218 :     const int nblocks_in_bytes = cp_mpi_sendrecv_byte(
     536        21406 :         /*sendbuf=*/send_pack->blocks,
     537              :         /*sendcound=*/
     538        21406 :         checked_byte_count(send_pack->nblocks, sizeof(dbm_pack_block_t)),
     539              :         /*dest=*/send_rank,
     540              :         /*sendtag=*/send_ipack,
     541        21406 :         /*recvbuf=*/packed->recv_pack.blocks,
     542              :         /*recvcount=*/
     543        21406 :         checked_byte_count(packed->max_nblocks, sizeof(dbm_pack_block_t)),
     544              :         /*source=*/recv_rank,
     545              :         /*recvtag=*/recv_ipack,
     546              :         /*comm=*/packed->dist_ticks->comm);
     547              : 
     548        21406 :     assert(nblocks_in_bytes % sizeof(dbm_pack_block_t) == 0);
     549        21406 :     packed->recv_pack.nblocks = nblocks_in_bytes / sizeof(dbm_pack_block_t);
     550              : 
     551              :     // Exchange data.
     552        42812 :     packed->recv_pack.data_size = cp_mpi_sendrecv_double(
     553        21406 :         /*sendbuf=*/send_pack->data,
     554        21406 :         /*sendcound=*/send_pack->data_size,
     555              :         /*dest=*/send_rank,
     556              :         /*sendtag=*/send_ipack,
     557              :         /*recvbuf=*/packed->recv_pack.data,
     558        21406 :         /*recvcount=*/packed->max_data_size,
     559              :         /*source=*/recv_rank,
     560              :         /*recvtag=*/recv_ipack,
     561        21406 :         /*comm=*/packed->dist_ticks->comm);
     562              : 
     563        21406 :     return &packed->recv_pack;
     564              :   }
     565              : }
     566              : 
     567              : /*******************************************************************************
     568              :  * \brief Private routine for releasing a packed matrix.
     569              :  * \author Ole Schuett
     570              :  ******************************************************************************/
     571       484116 : static void free_packed_matrix(dbm_packed_matrix_t *packed) {
     572       484116 :   cp_mpi_free_mem(packed->recv_pack.blocks);
     573              : #if defined(DBM_MULTIPLY_COMM_MEMPOOL)
     574       484116 :   offload_mempool_host_free(packed->recv_pack.data);
     575              : #else
     576              :   cp_mpi_free_mem(packed->recv_pack.data);
     577              : #endif
     578       989638 :   for (int ipack = 0; ipack < packed->nsend_packs; ipack++) {
     579       505522 :     cp_mpi_free_mem(packed->send_packs[ipack].blocks);
     580              : #if defined(DBM_MULTIPLY_COMM_MEMPOOL)
     581       505522 :     offload_mempool_host_free(packed->send_packs[ipack].data);
     582              : #else
     583              :     cp_mpi_free_mem(packed->send_packs[ipack].data);
     584              : #endif
     585              :   }
     586       484116 :   free(packed->send_packs);
     587       484116 : }
     588              : 
     589              : /*******************************************************************************
     590              :  * \brief Internal routine for creating a communication iterator.
     591              :  * \author Ole Schuett
     592              :  ******************************************************************************/
     593       242058 : dbm_comm_iterator_t *dbm_comm_iterator_start(const bool transa,
     594              :                                              const bool transb,
     595              :                                              const dbm_matrix_t *matrix_a,
     596              :                                              const dbm_matrix_t *matrix_b,
     597              :                                              const dbm_matrix_t *matrix_c) {
     598       242058 :   dbm_comm_iterator_t *iter = malloc(sizeof(dbm_comm_iterator_t));
     599       242058 :   assert(iter != NULL);
     600       242058 :   iter->dist = matrix_c->dist;
     601              : 
     602              :   // During each communication tick we'll fetch a pack_a and pack_b.
     603              :   // Since the cart might be non-squared, the number of communication ticks is
     604              :   // chosen as the least common multiple of the cart's dimensions.
     605       242058 :   iter->nticks = lcm(iter->dist->rows.nranks, iter->dist->cols.nranks);
     606       242058 :   iter->itick = 0;
     607              : 
     608              :   // 1.arg=source dimension, 2.arg=target dimension, false=rows, true=columns.
     609       242058 :   iter->packed_a =
     610       242058 :       pack_matrix(transa, false, matrix_a, iter->dist, iter->nticks);
     611       242058 :   iter->packed_b =
     612       242058 :       pack_matrix(!transb, true, matrix_b, iter->dist, iter->nticks);
     613              : 
     614       242058 :   return iter;
     615              : }
     616              : 
     617              : /*******************************************************************************
     618              :  * \brief Internal routine for retrieving next pair of packs of given iterator.
     619              :  * \author Ole Schuett
     620              :  ******************************************************************************/
     621       505522 : bool dbm_comm_iterator_next(dbm_comm_iterator_t *iter, dbm_pack_t **pack_a,
     622              :                             dbm_pack_t **pack_b) {
     623       505522 :   if (iter->itick >= iter->nticks) {
     624              :     return false; // end of iterator reached
     625              :   }
     626              : 
     627              :   // Start each rank at a different tick to spread the load on the sources.
     628       263464 :   const int shift = iter->dist->rows.my_rank + iter->dist->cols.my_rank;
     629       263464 :   const int itick = (iter->itick + shift) % iter->nticks;
     630       263464 :   *pack_a = sendrecv_pack(itick, iter->nticks, &iter->packed_a);
     631       263464 :   *pack_b = sendrecv_pack(itick, iter->nticks, &iter->packed_b);
     632              : 
     633       263464 :   ++iter->itick;
     634       263464 :   return true;
     635              : }
     636              : 
     637              : /*******************************************************************************
     638              :  * \brief Internal routine for releasing the given communication iterator.
     639              :  * \author Ole Schuett
     640              :  ******************************************************************************/
     641       242058 : void dbm_comm_iterator_stop(dbm_comm_iterator_t *iter) {
     642       242058 :   free_packed_matrix(&iter->packed_a);
     643       242058 :   free_packed_matrix(&iter->packed_b);
     644       242058 :   free(iter);
     645       242058 : }
     646              : 
     647              : // EOF
        

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